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Finding the Third Proportional to 4,278,190,095 and 9,145,146,287

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Solution

The third proportional to 4,278,190,095 and 9,145,146,287 is: 19,548,850,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278,190,095 : 9,145,146,287 = 9,145,146,287 : x
  2. Step 2: Convert to fraction form
    4,278,190,095/9,145,146,287 = 9,145,146,287/x
  3. Step 3: Cross multiply
    4,278,190,095x = 9,145,146,287 × 9,145,146,287
  4. Step 4: Simplify right side
    4,278,190,095x = 83,633,700,610,629,894,144
  5. Step 5: Solve for x
    x = 83,633,700,610,629,894,144/4,278,190,095
  6. Step 6: Final answer
    x = 19,548,850,975.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.